Question

A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?
SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!

Answer 1

Let's first consider: the fact that a new computer loses 1/2 of its value

 ⇒ third choice and fourth choice are eliminated

    ⇒ because of the graph project the computer's value as growing over  

         years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value = $total_.value*\frac{1}{2}$

After 2nd year ⇒ Computer's value = $total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2$

After 3rd year ⇒ Computer's value =$total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3$

     

 ..... (Hopefully you see a pattern)

After x year ⇒ Computer's value = $total_.value*(\frac{1}{2})^x$

Therefore, the equation is: $total_.value*(\frac{1}{2})^x$

  ⇒that means the graph has to exponentially decreasing as it has

     an exponent (meaning the function is exponential) and a base less

     than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!